The inverse demand for shampoo is given by P = 30 - 0.03Q, where P is the price per bottle in dollars and Q is bottles brought to market in hundreds. There are two manufacturers in the local market. Firm 1's cost function is given by C1 = 0.05q12, where q1 is the number of bottles it brings to market. Firm 2's cost function is given by C2 = 0.03q22, where q2 is the number of bottles it brings to market. The two firms are Cournot competitors who set output so that Q = q1 + q2. The profit maximizing level of output for firm 2 is ____.
A) 147.53
B) 213.12
C) 295.06
D) 360.65
Correct Answer:
Verified
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